Question

Wes has been tracking the population of a town. The population was 3,460 last year and has been increasing by 1.35 times each year. How can Wes develop a function to model this?

Answer 1

Last year the population was:  3,460.
This year:  3,460 * 1.35.
Next year : 3,460 * 1.35 *1.35 = 3,460 * 1.35²  .... etc ...
A function to model the growth of the population:
y = 3,460 * 1.35^x,
x - time in years.
Answer:
A ) f ( x ) = 3460 (1.35) x where is 1.35 the rate of growth